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Finding the Fourth Proportional to 76.66, 114.83 and 36.05

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Solution

The fourth proportional to 76.66, 114.83 and 36.05 is: 53.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.66 : 114.83 = 36.05 : x
  2. Step 2: Convert to fraction form
    76.66/114.83 = 36.05/x
  3. Step 3: Cross multiply
    76.66x = 114.83 × 36.05
  4. Step 4: Simplify right side
    76.66x = 4,139.21
  5. Step 5: Solve for x
    x = 4,139.21/76.66
  6. Step 6: Final answer
    x = 53.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.